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Finding the Third Proportional to 96,274 and 211,148

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Solution

The third proportional to 96,274 and 211,148 is: 463,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,274 : 211,148 = 211,148 : x
  2. Step 2: Convert to fraction form
    96,274/211,148 = 211,148/x
  3. Step 3: Cross multiply
    96,274x = 211,148 × 211,148
  4. Step 4: Simplify right side
    96,274x = 44,583,477,904
  5. Step 5: Solve for x
    x = 44,583,477,904/96,274
  6. Step 6: Final answer
    x = 463,089.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.